Update textbook.fr.md

12.temporary_ins/96.electromagnetism-in-media/20.reflexion-refraction-at-interfaces/10.boundary-conditions/10.main/textbook.fr.md

@@ -33,12 +33,12 @@ important to find some of the results later in this chapter. The
 boundary conditions can be obtained from the Maxwell equations. The
 first two equations
 
-@@@@@@@@@@@@
+@@@@@@@@@@@@ $`\quad (equ. 3.4)`$
 
 will give information on the normal components of $`\overrightarrow{D}`$ and $`\overrightarrow{B}`$,
 while the third and fourth
 
-@@@@@@@@@@@@
+@@@@@@@@@@@@ $`\quad (equ. 3.5)`$
 
 will give information on the tangential components of $`\overrightarrow{E}`$ and $`\overrightarrow{H}`$.
 
@@ -64,7 +64,7 @@ figure [3.1] which extends from one side to the other on
 the separation surface. This box has a base surface A and an
 infinitesimally small thickness $`\delta`$. We get:
 
-@@@@@@@@@@@@@@@@@@@@@@@@@
+@@@@@@@@@@@@@@@@@@@@@@@@@ $`\quad (equ. 3.6)`$
 
 If we now let $`\delta\longrightarrow 0`$ symmetrically with respect to the separation
 surface such that the cylinder gets "pressed" onto the surface:
@@ -82,20 +82,20 @@ surface such that the cylinder gets "pressed" onto the surface:
 
 We obtain:
 
-@@@@@@@@
+@@@@@@@@ $`\quad (equ. 3.7)`$
 
 Now, considering that $`d\overrightarrow{a_2}=-d\overrightarrow{a_1}`$ we can write:
 
-@@@@@@@@@@@@@
+@@@@@@@@@@@@@ $`\quad (equ. 3.8)`$
 
 Finally, as $`S_1=S'`$ and $`d\overrightarrow{a_2}=\overrightarrow{n}_{2\rightarrow 1}\,da_1`$ we can
 write:
 
-@@@@@@@@@
+@@@@@@@@@ $`\quad (equ. 3.9)`$
 
 or
 
-@@@@@@@@@@@
+@@@@@@@@@@@ $`\quad (equ. 3.10)`$
 
 The normal component of the vector $`\overrightarrow{D}`$ is in general discontinuous.
 It is continuos only if there are no conduction charges at the
@@ -107,11 +107,11 @@ The situation is identical for the vector $`\overrightarrow{B}`$, the only diffe
 being that the right hand side of the equation is always 0. We
 conclude that:
 
-@@@@@@@@@
+@@@@@@@@@ $`\quad (equ. 3.11)`$
 
 or
 
-@@@@@@@@@
+@@@@@@@@@ $`\quad (equ. 3.12)`$
 
 The normal component of $`\overrightarrow{B}`$ is always conserved.
 
@@ -130,17 +130,17 @@ figure [3.2.]. We chose to integrate the line integral
 following the right-hand sense relative to the surface normal
 $`\overrightarrow{n_a}`$. By letting $`\delta\rightarrow 0`$, we get
 
-@@@@@@@@@@@
+@@@@@@@@@@@ $`\quad (equ. 3.13)`$
 
 as the line integral along the sides goes to zero and the flux of the
 induction field $`\overrightarrow{B}`$, which is a finite quantity, approaches 0.
 Considering that $`\overrightarrow{CD}-\overrightarrow{AB}=d\vec{l}`$, we get:
 
-@@@@@@@@@@
+@@@@@@@@@@ $`\quad (equ. 3.14)`$
 
 or again
 
-@@@@@@@@@@@@
+@@@@@@@@@@@@ $`\quad (equ. 3.15)`$
 
 i.e. the tangential components of the electric field are always
 conserved at the interface. This condition can also be written: